Part I Nonlinear Dynamics of Continuous and Discontinuous Dynamical Systems On Synchronization and its Complexity of Multiple Dynamical Systems, by Albert C.J. Luo; Periodic and Chaotic Motions in a Gear-pair Transmission System With Impacts, by Albert C.J. Luo and Dennis O'Connor; Analytical Prediction of Interrupted Cutting Periodic Motions in a Machine Tool, by Brandon C. Gegg, Steve C. S. Suh, and Albert C. J. Luo; Control of Hopf Bifurcation and Chaos as Applied to Multimachine System, by Majdi M. Alomari and Benedykt S. Rodanski; Part II Lie Group Analysis and Applications in Nonlinear Sciences; Group-Invariant Solutions of Fractional Differential Equations, by R. K. Gazizov, A. A. Kasatkin, and S. Yu. Lukashchuk; Type-II Hidden Symmetries for Some Nonlinear Partial Differential Equations, by Maria Luz Gandarias;; Nonclassical and Potential Symmetries for a Boussinesq Equation With Nonlinear Dispersion, by M. S. Bruzón and M.L. Gandarias; Application of the Composite Variational Principle to Shallow Water Equations, by Emrullah Yasar and Teoman Ozer; Conserved Forms of Second Order-ordinary Differential Equations, by C. Muriel and J. L. Romero; Analytical Investigation of a Two.Phase Model Describing a Three.Way.Catalytic Converter, by J. Volkmann and N. Migranov; Part III Celestial Mechanics and Dynamical Astronomy: Methods and Applications; The Role of Invariant Manifolds in the Formation of Spiral Arms and Rings in Barred Galaxies, by M. Romero-Gómez, E. Athanassoula, J.J. Masdemont, and C. García-Gómez; Continuous and Discrete Concepts for Detecting Transport Barriers in the Planar Circular Restricted Three Body Problem, by Michael Dellnitz, Kathrin Padberg, Robert Preis, and Bianca Thiere;; Low-Energy Transfers in the Earth.Moon System, by Elisa Maria Alessi, Gerard Gómez, and Josep J. Masdemont; Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk, by E. Tresaco, A. Elipe, and A. Riaguas; An Accounting Device for Biasymptotic Solutions: the Scattering Map in the Restricted Three Body Problem, by Amadeu Delshams, Josep J. Masdemont, and Pablo Roldán; References; Optimal Capture Trajectories Using Multiple Gravity Assists, by Stefan Jerg, Oliver Junge, and Shane D. Ross; New Periodic Orbits in the Solar Sail Three-Body Problem, by J. D. Biggs, T. Waters, and C. McInnes; A Review of Invariant Manifold Dynamics of the CRTBP and Some Applications, by Josep J. Masdemont; Solar Sail Orbits at the Earth-Moon Libration Points, by Jules Simo and Colin R. McInnes; Part IV Mathematical Modeling of Nonlinear Structures in Bose-Einstein; Condensates Collisions of Discrete Breathers in Nonlinear Schrödinger and Klein.Gordon Lattices, by J Cuevas, A Álvarez, FR Romero, and JFR Archilla; Stability of BEC Systems in Nonlinear Optical Lattices, by Lauro Tomio, F.Kh. Abdullaev, H.L.F. da Luz, and A. Gammal; Nonlinear Schrödinger Equations With a Four-Well Potential in Two Dimensions: Bifurcations and Stability Analysis, by C. Wang, G. Theocharis, P.G. Kevrekidis, N. Whitaker, D.J. Frantzeskakis, and B.A. Malomed; Bose-Einstein Condensates and Multi-Component NLS Models on Symmetric Spaces of BD.I-Type. Expansions Over Squared Solutions, by V. S. Gerdjikov, D. J. Kaup, N. A. Kostov, and T. I. Valchev; Part V Mathematical Models in Engineering; Impulsive Boundary Layer Flow Past a Permeable Quadratically Stretching Sheet, by V. Kumaran, A. Vanav Kumar, and J. Sarat Chandra Babu; Complete Dynamic Modeling of a Stewart Platform Using the Generalized Momentum Approach, by António Mendes Lopes and E. J. Solteiro Pires; Spectral Solution for the Air Stripping Pollutants Removal Dynamic Model With Non Linear Steady State Conditions, by A. C. M. Castro, J. Matos, and A. Gavina; Three Behavioural Scenarios for Contingent Claims Valuation in Incomplete Markets; by L. Boukas, D. Pinheiro, A. A. Pinto, S. Z. Xanthopoulos, and A. N.Yannacopoulos; Undesired Oscillations in Pneumatic Systems, by Joao F